Explicit structure-preserving geometric particle-in-cell (PIC) algorithm in curvilinear
orthogonal coordinate systems is developed. The work reported represents a further …

We present a framework for the structure-preserving approximation of partial differential
equations on mapped multipatch domains, extending the classical theory of finite element …

In this manuscript we present a novel and efficient numerical method for the compressible
viscous and resistive MHD equations for all Mach number regimes. The time-integration …

We propose a numerical scheme to solve the semiclassical Vlasov–Maxwell equations for
electrons with spin. The electron gas is described by a distribution function. As a relevant …

In this work we define a spline complex preserving the cohomological structure of the
continuous de Rham complex when the underlying physical domain is a toroidal solid. In the …

In this work, we focus on the numerical approximation of a hybrid fluid-kinetic plasma model
for electrons, in which energetic electrons are described by a Vlasov kinetic model whereas …

In this work, Lawson type numerical methods are studied to solve Vlasov type equations on
a phase space grid. These time integrators are known to satisfy enhanced stability …

This thesis is made of three distinct parts. The first one concerns the Vlasov-Poisson system,
for which the convergence of a particle method has been shown. It makes a sort of link …

Cette thèse s' intéresse aux méthodes numériques pour la résolution de modèles de
plasmas électroniques, et plus particulièrement ceux où les électrons peuvent être …

In this talk, we focus on the numerical approximation of a hybrid fluid-kinetic plasma model
for electrons, in which energetic electrons are described by a Vlasov type model whereas a …